Subgroups — C₂×#26022152 #36707871

Order 22784.

710 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152036	C₂	1	1	yes	maximal, characteristic
2	C₂×#19151721	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19151711	C₂	1	1	yes	maximal, characteristic, complemented
4	#26022152	C₂	1	8	yes	maximal, direct product factor
5	C₂×#19151421	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19151412	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19151409	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#347×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15668034	C₂²	1	1	yes	characteristic
10	C₂²×D₇₁₂	C₂²	1	1	yes	characteristic
11	C₂×#15668018	—	2	1	no	—
12	C₂×C₄×D₃₅₆	—	2	1	no	—
13	#19152036	C₄	1	4	yes	complemented
14	#19152036	C₂²	1	4	yes	—
15	C₂×#15667957	C₄	1	2	yes	complemented
16	C₂×D₁₄₂₄	C₄	1	2	yes	complemented
17	#19151721	—	2	2	no	—
18	#19151721	C₂²	1	4	yes	complemented
19	#19151711	—	2	2	no	—
20	#19151711	C₂²	1	4	yes	complemented
21	C₂×#15667948	C₂²	1	1	yes	characteristic
22	C₂×#15667944	C₂²	1	1	yes	characteristic
23	C₂×#15667940	—	2	1	no	—
24	C₂×#15667934	—	2	1	no	—
25	#19151421	C₂²	1	4	yes	complemented
26	#19151412	C₂²	1	4	yes	complemented
27	#19151409	C₂²	1	4	yes	complemented
28	C₂×M₃₂×C₈₉	C₂²	1	1	yes	characteristic
29	C₂×M₃₂×C₈₉	C₂²	1	1	yes	characteristic
30	C₂×#97×C₈₉	C₂²	1	1	yes	characteristic
31	#347×C₈₉	C₂²	1	4	yes	complemented
32	C₂×#13083574	—	2	1	no	—
33	C₂²×D₃₅₆	—	2	1	no	—
34	C₂²×C₄×D₈₉	—	4	1	no	—
35	#15668034	—	2	1	no	—
36	#15668034	—	2	1	no	—
37	#15668034	C₂×C₄	1	2	yes	complemented
38	#15668034	C₂³	1	2	yes	—
39	C₂×Dic₃₅₆	C₂×C₄	1	1	yes	characteristic, complemented
40	C₂×#13083563	—	2	1	no	—
41	C₂×D₇₁₂	—	2	1	no	—
42	C₂×D₇₁₂	—	2	1	no	—
43	C₂×D₇₁₂	—	2	1	no	—
44	C₂×D₇₁₂	C₂×C₄	1	2	yes	—
45	C₂×D₇₁₂	C₂×C₄	1	2	yes	—
46	C₂×D₇₁₂	C₂×C₄	1	1	yes	characteristic, complemented
47	C₂×D₇₁₂	C₂³	1	2	yes	—
48	#15668018	—	2	4	no	—
49	#15668018	—	4	2	no	—
50	C₂×#13083558	—	2	1	no	—
51	C₂×#13083557	—	4	1	no	—
52	C₂×C₈×D₈₉	—	4	1	no	—
53	C₄×D₃₅₆	—	2	4	no	—
54	C₄×D₃₅₆	—	4	2	no	—
55	C₂×C₄⋊Dic₈₉	—	2	1	no	—
56	C₂×#13083551	—	4	1	no	—
57	#15667957	C₂×C₄	1	8	yes	complemented
58	D₁₄₂₄	C₂×C₄	1	8	yes	complemented
59	#15667948	—	2	1	no	—
60	#15667948	C₂³	1	2	yes	—
61	#15667944	—	2	1	no	—
62	#15667944	C₂³	1	2	yes	—
63	#15667940	—	2	4	no	—
64	#15667934	—	2	4	no	—
65	C₂²×C₈×C₈₉	D₄	1	1	yes	characteristic
66	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
67	C₂×C₄²×C₈₉	D₄	1	1	yes	characteristic
68	M₃₂×C₈₉	—	2	1	no	—
69	M₃₂×C₈₉	C₂×C₄	1	2	yes	complemented
70	M₃₂×C₈₉	C₂³	1	2	yes	—
71	M₃₂×C₈₉	C₂³	1	2	yes	—
72	C₂×C₁₆×C₈₉	—	2	1	no	—
73	C₂×C₁₆×C₈₉	C₂×C₄	1	2	yes	complemented
74	#97×C₈₉	D₄	1	2	yes	—
75	#97×C₈₉	C₂³	1	2	yes	—
76	C₂³×D₈₉	—	4	1	no	—
77	#13083574	—	2	2	no	—
78	#13083574	—	2	2	no	—
79	#13083574	—	4	1	no	—
80	#13083574	—	4	1	no	—
81	C₂×Dic₁₇₈	—	2	1	no	—
82	C₂×D₃₅₆	—	2	2	no	—
83	C₂×D₃₅₆	—	2	2	no	—
84	C₂×D₃₅₆	—	2	1	no	—
85	C₂×D₃₅₆	—	2	2	no	—
86	C₂×D₃₅₆	—	4	1	no	—
87	C₂×D₃₅₆	—	4	1	no	—
88	C₂×D₃₅₆	—	4	1	no	—
89	C₂×C₂²⋊D₈₉	—	4	1	no	—
90	C₂²×Dic₈₉	—	4	1	no	—
91	C₂×C₄×D₈₉	—	4	1	no	—
92	C₂×C₄×D₈₉	—	4	4	no	—
93	C₂×C₄×D₈₉	—	8	4	no	—
94	Dic₃₅₆	—	2	1	no	—
95	Dic₃₅₆	C₂²×C₄	1	2	yes	complemented
96	#13083563	—	2	2	no	—
97	#13083563	—	2	2	no	—
98	D₇₁₂	—	2	2	no	—
99	D₇₁₂	—	2	2	no	—
100	D₇₁₂	—	2	1	no	—
101	D₇₁₂	—	2	2	no	—
102	D₇₁₂	C₂²×C₄	1	4	yes	—
103	D₇₁₂	C₂²×C₄	1	2	yes	complemented
104	#13083558	—	2	2	no	—
105	#13083558	—	4	1	no	—
106	#13083557	—	4	4	no	—
107	C₂×#10623494	—	4	1	no	—
108	C₈×D₈₉	—	4	4	no	—
109	C₄⋊Dic₈₉	—	2	2	no	—
110	C₄⋊Dic₈₉	—	4	1	no	—
111	#13083551	—	4	4	no	—
112	C₂²×C₄×C₈₉	—	2	1	no	—
113	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
114	C₂×C₈×C₈₉	—	2	1	no	—
115	C₂×C₈×C₈₉	—	2	1	no	—
116	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₈×C₈₉	C₂×D₄	1	2	yes	—
119	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
121	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
122	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
123	C₄²×C₈₉	—	2	1	no	—
124	C₄²×C₈₉	C₂×D₄	1	2	yes	—
125	C₁₆×C₈₉	—	2	2	no	—
126	C₁₆×C₈₉	C₂²×C₄	1	4	yes	complemented
127	C₂³×C₈₉	AGL(1,ℤ/8)	1	1	yes	characteristic
128	C₂²×D₈₉	—	4	2	no	—
129	C₂²×D₈₉	—	4	1	no	—
130	C₂²×D₈₉	—	4	2	no	—
131	C₂²×D₈₉	—	4	2	no	—
132	C₂²×D₈₉	—	8	2	no	—
133	C₂²×D₈₉	—	8	2	no	—
134	C₂×C₄×C₈₉	—	2	2	no	—
135	C₂×C₄×C₈₉	—	4	2	no	—
136	C₂×C₄×C₈₉	C₄×D₄	1	1	yes	characteristic
137	C₂×C₄×C₈₉	C₄×D₄	1	1	yes	characteristic
138	C₂×C₄×C₈₉	AGL(1,ℤ/8)	1	1	yes	characteristic
139	C₂×C₄×C₈₉	AGL(1,ℤ/8)	1	1	yes	characteristic
140	C₂×C₄×C₈₉	AGL(1,ℤ/8)	1	1	yes	characteristic
141	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
142	C₂²⋊D₈₉	—	4	2	no	—
143	C₂²⋊D₈₉	—	4	2	no	—
144	C₂×Dic₈₉	—	4	1	no	—
145	C₂×Dic₈₉	—	4	2	no	—
146	C₂×Dic₈₉	—	8	2	no	—
147	D₃₅₆	—	2	4	no	—
148	D₃₅₆	—	2	2	no	—
149	D₃₅₆	—	4	2	no	—
150	D₃₅₆	—	4	2	no	—
151	D₃₅₆	—	4	2	no	—
152	D₃₅₆	—	4	1	no	—
153	C₄×D₈₉	—	4	2	no	—
154	C₄×D₈₉	—	4	2	no	—
155	C₄×D₈₉	—	8	8	no	—
156	Dic₁₇₈	—	2	2	no	—
157	Dic₁₇₈	—	4	1	no	—
158	C₈×C₈₉	—	2	2	no	—
159	C₈×C₈₉	C₄×D₄	1	1	yes	characteristic
160	C₈×C₈₉	C₄×D₄	1	1	yes	characteristic
161	C₈×C₈₉	C₂³×C₄	1	1	yes	characteristic
162	C₈×C₈₉	C₂×#41	1	1	yes	characteristic
163	#10623494	—	4	2	no	—
164	C₂²×C₈₉	—	2	2	no	—
165	C₂²×C₈₉	#442	1	1	yes	characteristic
166	C₂²×C₈₉	#442	1	1	yes	characteristic
167	C₂²×C₈₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
168	C₂×D₈₉	—	4	2	no	—
169	C₂×D₈₉	—	4	4	no	—
170	C₂×D₈₉	—	8	2	no	—
171	C₂×D₈₉	—	8	2	no	—
172	C₂×D₈₉	—	8	4	no	—
173	C₂×D₈₉	—	8	2	no	—
174	C₂×D₈₉	—	8	4	no	—
175	C₄×C₈₉	—	4	2	no	—
176	C₄×C₈₉	#442	1	1	yes	characteristic
177	C₄×C₈₉	#442	1	1	yes	characteristic
178	C₄×C₈₉	C₂×C₄×D₄	1	1	yes	characteristic
179	C₄×C₈₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
180	Dic₈₉	—	4	2	no	—
181	Dic₈₉	—	8	2	no	—
182	C₂×AGL(1,ℤ/16)	—	89	1	no	maximal, Sylow
183	C₂×C₈₉	—	2	1	no	—
184	C₂×C₈₉	—	2	1	no	—
185	C₂×C₈₉	AGL(1,ℤ/16)	1	2	yes	complemented
186	C₂×C₈₉	C₂×#442	1	1	yes	characteristic
187	D₈₉	—	8	2	no	—
188	D₈₉	—	8	4	no	—
189	C₂×#509	—	89	1	no	—
190	C₂×#444	—	89	1	no	—
191	C₂×#442	—	89	1	no	—
192	AGL(1,ℤ/16)	—	89	8	no	—
193	C₂×#365	—	89	1	no	—
194	C₂×#361	—	89	1	no	—
195	C₂×#360	—	89	1	no	—
196	C₂×#347	D₈₉	1	1	yes	characteristic, complemented
197	C₈₉	C₂×AGL(1,ℤ/16)	1	1	yes	characteristic, complemented, Sylow
198	C₂×#135	—	89	1	no	—
199	C₂²×D₈	—	89	1	no	—
200	C₂×#131	—	178	1	no	—
201	C₂×C₄×D₄	—	178	1	no	—
202	#509	—	89	4	no	—
203	#509	—	89	4	no	—
204	C₂×SD₃₂	—	89	2	no	—
205	C₂×D₁₆	—	89	2	no	—
206	C₂×M₃₂	C₂×D₈₉	1	1	yes	characteristic
207	C₂×M₃₂	C₂×D₈₉	1	1	yes	characteristic
208	#444	—	89	4	no	—
209	#444	—	178	2	no	—
210	#442	—	89	4	no	—
211	#442	—	178	2	no	—
212	C₂×#108	—	89	1	no	—
213	C₂×#106	—	89	1	no	—
214	C₂×#104	—	178	1	no	—
215	C₂×#102	—	178	1	no	—
216	C₂×#97	C₂×D₈₉	1	1	yes	characteristic
217	#365	—	89	4	no	—
218	#361	—	89	4	no	—
219	#360	—	89	4	no	—
220	#347	C₂×D₈₉	1	4	yes	complemented
221	C₂×#41	—	178	1	no	—
222	C₂²×D₄	—	178	1	no	—
223	C₂³×C₄	—	356	1	no	—
224	#135	—	89	2	no	—
225	#135	—	89	2	no	—
226	#135	—	178	1	no	—
227	#135	—	178	1	no	—
228	C₂×Q₁₆	—	89	1	no	—
229	C₂×SD₁₆	—	178	1	no	—
230	C₂×D₈	—	89	2	no	—
231	C₂×D₈	—	89	2	no	—
232	C₂×D₈	—	89	1	no	—
233	C₂×D₈	—	89	2	no	—
234	C₂×D₈	—	178	1	no	—
235	C₂×D₈	—	178	1	no	—
236	C₂×D₈	—	178	1	no	—
237	#131	—	356	2	no	—
238	#131	—	178	4	no	—
239	C₂×M₁₆	—	356	1	no	—
240	C₂×M₁₆	—	178	1	no	—
241	C₂²×C₈	—	356	1	no	—
242	C₂²×C₈	D₃₅₆	1	1	yes	characteristic
243	C₂²×C₈	C₂²×D₈₉	1	1	yes	characteristic
244	C₄×D₄	—	356	2	no	—
245	C₄×D₄	—	178	4	no	—
246	C₂×C₄⋊C₄	—	178	1	no	—
247	C₂×C₂²⋊C₄	—	356	1	no	—
248	C₂×C₄²	D₃₅₆	1	1	yes	characteristic
249	SD₃₂	—	89	8	no	—
250	D₁₆	—	89	8	no	—
251	M₃₂	—	2	1	no	—
252	M₃₂	C₄×D₈₉	1	2	yes	complemented
253	M₃₂	C₂²×D₈₉	1	2	yes	—
254	M₃₂	C₂²×D₈₉	1	2	yes	—
255	C₂×C₁₆	—	2	1	no	—
256	C₂×C₁₆	C₄×D₈₉	1	2	yes	complemented
257	#108	—	89	2	no	—
258	#108	—	178	1	no	—
259	#106	—	89	2	no	—
260	#106	—	178	1	no	—
261	#104	—	178	4	no	—
262	#102	—	178	4	no	—
263	#97	D₃₅₆	1	2	yes	—
264	#97	C₂²×D₈₉	1	2	yes	—
265	C₂⁴	—	356	1	no	—
266	#41	—	356	1	no	—
267	#41	—	356	1	no	—
268	#41	—	178	2	no	—
269	#41	—	178	2	no	—
270	C₂×Q₈	—	178	1	no	—
271	C₂×D₄	—	356	1	no	—
272	C₂×D₄	—	356	1	no	—
273	C₂×D₄	—	356	1	no	—
274	C₂×D₄	—	356	1	no	—
275	C₂×D₄	—	178	2	no	—
276	C₂×D₄	—	178	2	no	—
277	C₂×D₄	—	178	1	no	—
278	C₂×D₄	—	178	2	no	—
279	C₂²×C₄	—	2	1	no	—
280	C₂²×C₄	—	356	4	no	—
281	C₂²×C₄	—	356	1	no	—
282	C₂²×C₄	—	356	1	no	—
283	C₂²×C₄	—	712	4	no	—
284	C₂²×C₄	C₂×D₃₅₆	1	1	yes	characteristic
285	Q₁₆	—	89	2	no	—
286	Q₁₆	—	178	1	no	—
287	SD₁₆	—	178	2	no	—
288	SD₁₆	—	178	2	no	—
289	D₈	—	89	2	no	—
290	D₈	—	89	4	no	—
291	D₈	—	178	2	no	—
292	D₈	—	178	2	no	—
293	D₈	—	178	1	no	—
294	D₈	—	178	2	no	—
295	M₁₆	—	356	4	no	—
296	M₁₆	—	356	1	no	—
297	M₁₆	—	178	2	no	—
298	C₂×C₈	—	2	1	no	—
299	C₂×C₈	—	2	1	no	—
300	C₂×C₈	—	356	4	no	—
301	C₂×C₈	—	356	1	no	—
302	C₂×C₈	C₂×C₄×D₈₉	1	1	yes	characteristic
303	C₂×C₈	C₂×C₄×D₈₉	1	1	yes	characteristic
304	C₂×C₈	C₂×D₃₅₆	1	2	yes	—
305	C₂×C₈	C₂×D₃₅₆	1	1	yes	characteristic
306	C₂×C₈	#13083574	1	1	yes	characteristic
307	C₂×C₈	#13083574	1	1	yes	characteristic
308	C₂×C₈	C₂³×D₈₉	1	1	yes	characteristic
309	C₄⋊C₄	—	356	1	no	—
310	C₄⋊C₄	—	178	2	no	—
311	C₂²⋊C₄	—	356	4	no	—
312	C₄²	—	2	1	no	—
313	C₄²	C₂×D₃₅₆	1	2	yes	—
314	C₁₆	—	2	2	no	—
315	C₁₆	C₂×C₄×D₈₉	1	4	yes	complemented
316	C₂³	—	356	2	no	—
317	C₂³	—	356	2	no	—
318	C₂³	—	356	1	no	—
319	C₂³	—	356	2	no	—
320	C₂³	—	712	2	no	—
321	C₂³	—	712	2	no	—
322	C₂³	#15668040	1	1	yes	characteristic
323	Q₈	—	356	1	no	—
324	Q₈	—	178	2	no	—
325	D₄	—	356	2	no	—
326	D₄	—	356	2	no	—
327	D₄	—	356	2	no	—
328	D₄	—	356	2	no	—
329	D₄	—	356	2	no	—
330	D₄	—	356	1	no	—
331	D₄	—	178	4	no	—
332	D₄	—	178	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	356	1	no	—
336	C₂×C₄	—	356	2	no	—
337	C₂×C₄	—	356	2	no	—
338	C₂×C₄	—	356	2	no	—
339	C₂×C₄	—	712	8	no	—
340	C₂×C₄	—	712	2	no	—
341	C₂×C₄	C₄×D₃₅₆	1	1	yes	characteristic
342	C₂×C₄	C₄×D₃₅₆	1	1	yes	characteristic
343	C₂×C₄	#15668040	1	1	yes	characteristic
344	C₂×C₄	#15668040	1	1	yes	characteristic
345	C₂×C₄	#15668040	1	1	yes	characteristic
346	C₂×C₄	C₂²×D₃₅₆	1	1	yes	characteristic
347	C₈	—	2	2	no	—
348	C₈	—	356	2	no	—
349	C₈	C₄×D₃₅₆	1	1	yes	characteristic
350	C₈	C₄×D₃₅₆	1	1	yes	characteristic
351	C₈	C₂²×C₄×D₈₉	1	1	yes	characteristic
352	C₈	C₂×#13083574	1	1	yes	characteristic
353	C₂²	—	2	2	no	—
354	C₂²	—	356	2	no	—
355	C₂²	—	356	4	no	—
356	C₂²	—	712	2	no	—
357	C₂²	—	712	2	no	—
358	C₂²	—	712	4	no	—
359	C₂²	—	712	4	no	—
360	C₂²	—	712	2	no	—
361	C₂²	#19151711	1	1	yes	characteristic
362	C₂²	#19151711	1	1	yes	characteristic
363	C₂²	C₂×#15668040	1	1	yes	characteristic
364	C₄	—	4	2	no	—
365	C₄	—	356	2	no	—
366	C₄	—	712	2	no	—
367	C₄	#19151711	1	1	yes	characteristic
368	C₄	#19151711	1	1	yes	characteristic
369	C₄	C₂×C₄×D₃₅₆	1	1	yes	characteristic
370	C₄	C₂×#15668040	1	1	yes	characteristic
371	C₂	—	2	1	no	—
372	C₂	—	2	1	no	—
373	C₂	—	712	2	no	—
374	C₂	—	712	4	no	—
375	C₂	#26022152	1	2	yes	direct product factor
376	C₂	C₂×#19151711	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#19151711
commutator	C₈×C₈₉	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₈₉
Fitting	C₂×#347×C₈₉	C₂
socle	C₂²×C₈₉	#442
prime radical	C₂×#19152036	C₂
cosocle	C₂×C₈×C₈₉	C₂⁴
hypercenter	C₂×#347	D₈₉
hypocenter	C₈₉	C₂×AGL(1,ℤ/16)
LCS	G ▷ C₈×C₈₉ ▷ C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#97 ◁ C₂×#347

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₂×#19151721	C₂	semidirect
3. C₂×#19151711	C₂	semidirect
4. #26022152	C₂	direct (N × H)
5. C₂×#19151421	C₂	semidirect
6. C₂×#19151412	C₂	semidirect
7. C₂×#19151409	C₂	semidirect
8. C₂×#347×C₈₉	C₂	semidirect
13. #19152036	C₄	semidirect
15. C₂×#15667957	C₄	semidirect
16. C₂×D₁₄₂₄	C₄	semidirect
18. #19151721	C₂²	semidirect
20. #19151711	C₂²	semidirect
25. #19151421	C₂²	semidirect
26. #19151412	C₂²	semidirect
27. #19151409	C₂²	semidirect
31. #347×C₈₉	C₂²	semidirect
37. #15668034	C₂×C₄	semidirect
39. C₂×Dic₃₅₆	C₂×C₄	semidirect
46. C₂×D₇₁₂	C₂×C₄	semidirect
57. #15667957	C₂×C₄	semidirect
58. D₁₄₂₄	C₂×C₄	semidirect
69. M₃₂×C₈₉	C₂×C₄	semidirect
73. C₂×C₁₆×C₈₉	C₂×C₄	semidirect
95. Dic₃₅₆	C₂²×C₄	semidirect
103. D₇₁₂	C₂²×C₄	semidirect
126. C₁₆×C₈₉	C₂²×C₄	semidirect
185. C₂×C₈₉	AGL(1,ℤ/16)	semidirect
196. C₂×#347	D₈₉	semidirect
197. C₈₉	C₂×AGL(1,ℤ/16)	semidirect
220. #347	C₂×D₈₉	semidirect
252. M₃₂	C₄×D₈₉	semidirect
256. C₂×C₁₆	C₄×D₈₉	semidirect
315. C₁₆	C₂×C₄×D₈₉	semidirect
375. C₂	#26022152	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#19152036	2
C₂×#19151721	2
C₂×#19151711	2
#26022152	2
C₂×#19151421	2
C₂×#19151412	2
C₂×#19151409	2
C₂×#347×C₈₉	2
C₂×AGL(1,ℤ/16)	89

Subgroups — C2×#26022152 #36707871

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#26022152 #36707871